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Finding the Third Proportional to 436,796 and 894,763

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Solution

The third proportional to 436,796 and 894,763 is: 1,832,894.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,796 : 894,763 = 894,763 : x
  2. Step 2: Convert to fraction form
    436,796/894,763 = 894,763/x
  3. Step 3: Cross multiply
    436,796x = 894,763 × 894,763
  4. Step 4: Simplify right side
    436,796x = 800,600,826,169
  5. Step 5: Solve for x
    x = 800,600,826,169/436,796
  6. Step 6: Final answer
    x = 1,832,894.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.